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443421040 = 245113181271
BaseRepresentation
bin11010011011100…
…001000101110000
31010220101010022111
4122123201011300
51402003433130
6112000015104
713663005466
oct3233410560
91126333274
10443421040
11208332877
12104601494
1370b3531a
1442c68836
1528dde02a
hex1a6e1170

443421040 has 80 divisors (see below), whose sum is σ = 1049682816. Its totient is φ = 174182400.

The previous prime is 443421037. The next prime is 443421067. The reversal of 443421040 is 40124344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636105 + ... + 1636375.

Almost surely, 2443421040 is an apocalyptic number.

443421040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524841408).

443421040 is an abundant number, since it is smaller than the sum of its proper divisors (606261776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

443421040 is a wasteful number, since it uses less digits than its factorization.

443421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 443421040 is about 21057.5649114517. The cubic root of 443421040 is about 762.5566253746.

Adding to 443421040 its reverse (40124344), we get a palindrome (483545384).

The spelling of 443421040 in words is "four hundred forty-three million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 181 226 271 362 452 542 565 724 904 905 1084 1130 1355 1448 1808 1810 2168 2260 2710 2896 3620 4336 4520 5420 7240 9040 10840 14480 20453 21680 30623 40906 49051 61246 81812 98102 102265 122492 153115 163624 196204 204530 244984 245255 306230 327248 392408 409060 489968 490510 612460 784816 818120 981020 1224920 1636240 1962040 2449840 3924080 5542763 11085526 22171052 27713815 44342104 55427630 88684208 110855260 221710520 443421040